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Modal testing and finite element model calibration of an arch type steel footbridge

  • Bayraktar, Alemdar (Karadeniz Technical University, Department of Civil Engineering) ;
  • Altunisk, Ahmet Can (Karadeniz Technical University, Department of Civil Engineering) ;
  • Sevim, Baris (Karadeniz Technical University, Department of Civil Engineering) ;
  • Turker, Temel (Karadeniz Technical University, Department of Civil Engineering)
  • 투고 : 2006.03.17
  • 심사 : 2007.03.26
  • 발행 : 2007.12.25

초록

In recent decades there has been a trend towards improved mechanical characteristics of materials used in footbridge construction. It has enabled engineers to design lighter, slender and more aesthetic structures. As a result of these construction trends, many footbridges have become more susceptible to vibrations when subjected to dynamic loads. In addition to this, some inherit modelling uncertainties related to a lack of information on the as-built structure, such as boundary conditions, material properties, and the effects of non-structural elements make difficult to evaluate modal properties of footbridges, analytically. For these purposes, modal testing of footbridges is used to rectify these problems after construction. This paper describes an arch type steel footbridge, its analytical modelling, modal testing and finite element model calibration. A modern steel footbridge which has arch type structural system and located on the Karadeniz coast road in Trabzon, Turkey is selected as an application. An analytical modal analysis is performed on the developed 3D finite element model of footbridge to provide the analytical frequencies and mode shapes. The field ambient vibration tests on the footbridge deck under natural excitation such as human walking and traffic loads are conducted. The output-only modal parameter identification is carried out by using the peak picking of the average normalized power spectral densities in the frequency domain and stochastic subspace identification in the time domain, and dynamic characteristics such as natural frequencies mode shapes and damping ratios are determined. The finite element model of footbridge is calibrated to minimize the differences between analytically and experimentally estimated modal properties by changing some uncertain modelling parameters such as material properties. At the end of the study, maximum differences in the natural frequencies are reduced from 22% to only %5 and good agreement is found between analytical and experimental dynamic characteristics such as natural frequencies, mode shapes by model calibration.

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참고문헌

  1. Abdel-Ghaffar, A. M. (1978),"Vibration studies and tests of a suspension bridge", Earthq. Eng. Struc. Dyn., 6(5), 473-496. https://doi.org/10.1002/eqe.4290060505
  2. Andersen, P., Brincker, R. and Kirkegaard, P. H. (1996),"Theory of covariance equivalent ARMAV models of civil engineering structures", Proceedings of the 14th International Modal Analysis Conference, Dearborn, MI, USA, 518-524.
  3. Bachmann, H., Pretlove, A. J. and Rainer, H. (1995), Dynamic Forces from Rhythmical Human Body Motions, In: Vibration Problems in Structures: Practical Guidelines, Birkhauser, Basel.
  4. Bayraktar, A., Altun 1k, A. C., Turker, T. and Sevim, B. (2007),"The determination of earthquake safety of historical masonry minarets by operational modal analysis", 1st Reinforcement and Transfer into the Future of Historical Structures, Ankara, Turkey (in Turkish).
  5. Bayraktar, A., Altun 1k, A. C., Turker, T. and Sevim, B.(2007),"The model updating of historical masonry bridges using operational modal analysis method ", 1st Reinforcement and Transfer into the Future of Historical Structures, Ankara, Turkey (in Turkish).
  6. Bayraktar, A., Turker, T., Sevim, B. and Altun 1k, A. C. (2007),"Determination of dynamic characteristics of turkish style RC minarets by analytical and experimental modal analyses", Int. Symposium on Advances in Earthquake & Structural Engineering, Isparta, Turkey.
  7. Bayraktar, A., Turker, T., Sevim, B. and Altun 1k, A. C. (2007),"Determination of dynamic characteristics of steel footbridges by analytical and experimental modal analyses", Int. Symposium on Advances in Earthquake & Structural Engineering, Isparta, Turkey 2007.
  8. Bendat, J. S. and Piersol, A. G. (1993), Engineering Applications Correlation and Spectral Analysis, 2nd edition, Wiley & Sons, New York, NY, USA.
  9. Brownjohn, J. M. W. (1997),"Vibration characteristics of a suspension footbridge", J. Sound Vib. 202(1), 29-46. https://doi.org/10.1006/jsvi.1996.0789
  10. Brownjohn, J. M. W., Dumanog lu, A. A. and Taylor, C. A. (1994),"Dynamic investigation of a suspension footbridge", Eng. Struct. 16(6), 395-406. https://doi.org/10.1016/0141-0296(94)90054-X
  11. Brownjohn, M. W., Dumanog lu, A. A. and Severn, R. T. (1992),"Ambient vibration survey of the Fatih Sultan Mehmet (Second Bosporus) suspension bridge", Earth. Eng. Struct. Dyn. 21, 907-924. https://doi.org/10.1002/eqe.4290211005
  12. Buckland, P. G., Hooley, R., Morgenstern, B. D., Rainer, J. H. and van Selst, A. M. (1979),"Suspension bridge vibrations: computed and measured", J. Struct. Div. ASCE, 105 (ST5) 859-874.
  13. Cantieni, R. (2004),"Experimental methods used in system identification of civil engineering structures". 2th Workshop: Problemi di Vibrazioni Nelle Strutture Civili e Nelle Costruzioni Meccaniche, Perugia, 10-11.
  14. Cantieni, R. and Pietrzko, S. (1993),"Modal testing of a wooden footbridge using random excitation". Proceedings of the 11th International Modal Analysis Conference, 1230-1236.
  15. Ceballos, M. A., Car, E. J., Prato, T. A., Prato, C. A. and Alvarez, L. M. (1998),"Experimental and numerical determination of the dynamic properties of the reactor building of Atucha II NPP", Nuclear Engineering and Design, 182, 93-106. https://doi.org/10.1016/S0029-5493(97)00278-1
  16. Chang, C. C., Chang, T. Y. P. and Zhang, Q. W. (2001),"Ambient vibration of long-span cable-stayed bridge", J. Bridge Eng. ASCE, 6(1), 46-53. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:1(46)
  17. Deger, Y., Felber, A., Cantieni, R. and Smet, C. A. M. (1996)."Dynamic modelling and testing of a cable stayed pedestrian bridge", Proceedings of the 14th International Modal Analysis Conference, Dearborne, Michigan, USA, 211-217.
  18. Dooms, D., Degrande, G. and Roeck, G. D. (2006),"Finite element modelling of a silo based on experimental modal analysis", Eng. Struct, 28, 532-542. https://doi.org/10.1016/j.engstruct.2005.09.008
  19. Eyre, R. and Tilly, G. P, (1977),"Damping measurements on steel and composite bridges", Proceedings of the DOE and DOT TRRL Symposium on Dynamic Behaviour of Bridges, 22-39.
  20. Gardner-Morse, M. G. and Huston, D. R. (1993),"Modal identification of cable-stayed pedestrian bridge", J. Struct. Eng, 119(11), 384-404.
  21. Gentile, C. and Saisi, A. (2007),"Ambient vibration testing of historic masonry towers for structural identification and damage assessment", Construction and Building Materials, 21, 1311-1321. https://doi.org/10.1016/j.conbuildmat.2006.01.007
  22. Hermans, L., Van der Auweraer, H. and Guillaume, P. (1998),"A frequency-domain maximum likelihood approach for the extraction of modal parameters from output-only data", Proceedings of ISMA23, International Conference on Noise and Vibration Engineering, Leuven, Belgium, 367-376.
  23. Jaishi, B. and Ren, W. X. (2005),"Structural finite element model updating using ambient vibration test results", J. Struc. Eng. ASCE, 131(4), 617-628. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:4(617)
  24. James, G. H., Carne, T. G., and Lauffer J. P. (1995),"The natural excitation technique (NExT) for modal parameter extraction from operating structures", Int. J. Analytical and Experimental Modal Analysis, 10(4), 260-277.
  25. Juang, J. N. (1994), Applied System Identification, Englewood Cliffs (NJ): Prentice-Hall Inc.
  26. Leonard, D. R. (1974), Dynamic Tests on Highway Bridges Test Procedures and Equipment, Report no 654, Crowthorne: Transport and Road Research Laboratory, Structures Department.
  27. Leonard, D. R. and Eyre, R. (1984), Damping and Frequency Measurements on Eight Box Girder Bridges, Report no LR682, Crowthorne: Transport and Road Research Laboratory, Department of the Environment, 197. Ewins, Modal Testing: Theory and Practice, England: Research Studies Press Ltd, 1984.
  28. Ljung, L. (1987), System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ.
  29. Lord, J. F., Ventura, C. E. and Dascotte, E. (2004),"Automated model updating using ambient vibration data from a 48-storey building in Vancouver", Proceedings of the 22nd International Modal Analysis Conference, Dearborn, Detroit, USA, 26-29.
  30. MAPA, (2007), MNG Holding MAPA Engineering, Trabzon Coast Road Project, Trabzon.
  31. Modak, S. V., Kundra, T. K. and Nakra, B. C. (2002),"Comparative study of model updating methods using experimental data", Comput. Struct, 80(5-6), 437-447. https://doi.org/10.1016/S0045-7949(02)00017-2
  32. OMA, (2006), Operational Modal Analysis, Release 4.0, Structural Vibration Solution A/S, Denmark.
  33. Pavic, A. and Reynolds, P. (2002),"Modal testing of a 34 m catenary footbridge", Proceedings of the 20th International Modal Analysis Conference, 1113-1118.
  34. Pavic, A., Hartley, M. J. and Waldron, P. (1998),"Updating of the analytical models of two footbridges based on modal testing of full-scale structures", Proceedings of the International Conference on Noise and Vibration Engineering (ISMA 23), Leuven, Belgium, 1111-1118.
  35. Peeters, B. and De Roeck, G. (1999),"Reference based stochastic subspace identification in civil engineering". Proceedings of the 2nd International Conference on Identification in Engineering Systems, Swansea, UK, 639-648.
  36. Rainer, J. H. and Pernica, G. (1979),"Dynamic testing of a modern concrete bridge", Canadian Journal of Civil Engineering, 6(3), 447-455. https://doi.org/10.1139/l79-057
  37. Ren, W. X., Zatar, W. and Harik, I. E. (2004),"Ambient vibration-based seismic evaluation of a continuous girder bridge", Eng. Struct, 26, 631-640. https://doi.org/10.1016/j.engstruct.2003.12.010
  38. Ren, W. X., Zhao, T. and Harik, I. E. (2004),"Experimental and analytical modal analysis of steel arch bridge", J. Struct. Eng. ASCE, 130, 1022-1031. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:7(1022)
  39. Reynolds, P., Pavic, A. and Ibrahim, Z. (2004),"A remote monitoring system for stadia dynamics", Proceedings of the Institution of Civil Engineers: Structures and Buildings, 157, 385-393. https://doi.org/10.1680/stbu.157.6.385.52107
  40. Roeck, G. D., Peeters, B. and Ren, W. X. (2000),"Benchmark study on system identification through ambient vibration measurements". Proceedings of the 18th International Modal Analysis Conference, San Antonio, USA, 1106-1112.
  41. Salawu, O. S. and Williams, C. (1995)"Review of full-scale dynamic testing of bridge structure", Eng. Struct, 17(2), 13-21.
  42. SAP2000 Integrated Finite Element Analysis and Design of Structures, Computers and Structures Inc, Berkeley, California, USA, 1998.
  43. Setra, Footbridges Assessment of Vibrational Behaviour of Footbridges under Pedestrian Loading, Technical Guide Published by the Setra, French Association of Civil Engineering, France, 2006.
  44. Silva, J. M. M. (1997). Theoretical and Experimental Modal Analysis, England: Research Studies Press Ltd.
  45. Sortis, A. D., Antonacci, E. and Vestroni, F. (2005),"Dynamic identification of a masonry building using forced vibration tests", Eng. Struct, 27, 155-165. https://doi.org/10.1016/j.engstruct.2004.08.012
  46. Van Overschee, P. and De Moor, B. (1996), Subspace Identification for Linear Systems: Theory, Implementation and Applications, Kluwer Academic Publishers, Dordrecht, Netherlands.
  47. Ventura, C. E., Lord, J. F. and Simpson, R. D. (2002),"Effective use of ambient vibration measurements for modal updating of a 48 storey building in Vancouver", CANADA. International Conference on Structural Dynamics Modelling-Test, Analysis, Correlation and Validation, Instituto de Engenharia Macanica, Madeira Island, Portugal.
  48. Wu, J. R. and Li, Q. S. (2004),"Finite element model updating for a high-rise structure based on ambient vibration measurements", Eng. Struct, 26(7), 979-990. https://doi.org/10.1016/j.engstruct.2004.03.002
  49. Zhang, Q. W., Chang, T. Y. P. and Chang, C. C. (2001),"Finite element model updating for the Kap Shui Mun cable-stayed bridge", J. Bridge Eng. ASCE, 6(4), 285-293. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:4(285)
  50. Zhou, J., Lin, G., Zhu, T., Jefferson, A. D. and Williams, F. W. (2000),"Experimental investigation into seismic failure of high arch dams", J. Struct. Eng. ASCE, 126(8), 926-935. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(926)
  51. Zivanovic, S., Pavic, A. and Reynolds, P. (2005),"Vibration serviceability of footbridges under human-induced excitation: a literature review", J. Sound Vib., 279, 1-74. https://doi.org/10.1016/j.jsv.2004.01.019
  52. Zivanovic, S., Pavic, A. and Reynolds, P. (2006),"Modal testing and FE model tuning of a lively footbridge structure", Eng. Struct., 28, 857-868. https://doi.org/10.1016/j.engstruct.2005.10.012
  53. Zivanovic, S., Pavic, A. and Reynolds, P. (2007),"Finite element modelling and updating of a lively footbridge: the complete process", J. Sound Vib., 301, 126-145. https://doi.org/10.1016/j.jsv.2006.09.024

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